Best Known (10, 18, s)-Nets in Base 3
(10, 18, 32)-Net over F3 — Constructive and digital
Digital (10, 18, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 9, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
(10, 18, 151)-Net in Base 3 — Upper bound on s
There is no (10, 18, 152)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 389 461697 > 318 [i]